Theorems · Definition · category theory

CategoryTheory.Functor.LeftExtension.precomp

{C : Type u_1} →
  {C' : Type u_2} →
    {H : Type u_3} →
      {D : Type u_4} →
        [inst : CategoryTheory.Category.{v_1, u_1} C] →
          [inst_1 : CategoryTheory.Category.{v_2, u_2} C'] →
            [inst_2 : CategoryTheory.Category.{v_3, u_3} H] →
              [inst_3 : CategoryTheory.Category.{v_4, u_4} D] →
                (L : CategoryTheory.Functor C D) →
                  (F : CategoryTheory.Functor C H) →
                    (G : CategoryTheory.Functor C' C) →
                      CategoryTheory.Functor (L.LeftExtension F) ((G.comp L).LeftExtension (G.comp F))

The functor LeftExtension L F ⥤ LeftExtension (G ⋙ L) (G ⋙ F) obtained by precomposition.

Defined in

Mathlib.CategoryTheory.Functor.KanExtension.Basic

Cited by

9 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category